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3 years ago

A cylinder has a volume of 24 cubic inches. What is the volume of a cone that the cone fits exactly inside of?

Mathematics

2 answers:

Karolina [17]3 years ago

5 0

Volume of cylinder = 24
volume of a cone = 1/3(volume of cylinder) = 1/3 (24) = 8

answer
8 <span>cubic inches</span>

zmey [24]3 years ago

5 0

Answer:

volume of cone is 8 cubic inches.

Step-by-step explanation:

We have been given that volume of cylinder = 24 cubic inches.

Since, cone fits exactly inside of the cylinder hence, we have

Volume of cylinder = volume of cone

Now, we know the formula

Volume of cone = $\frac{1}{3}\pi r^2h$

Volume of cylinder = $\pi r^2h$

Now, we have been given that

$\pi r^2h=24$

Therefore, we have

Volume of cone is given by

$\frac{1}{3}\times24\\\\=8$

Hence, volume of cone is 8 cubic inches.

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Mariulka [41]

Given:

The equation is,

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Substitute the values of x in the equation to check answers are valid or not.

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1 year ago

Find the arc length of the semicircle?

myrzilka [38]

Answer:

The length of the semicircle arc is 6π

Step-by-step explanation:

To solve this problem we need to use the circumferenc formula of a circle:

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c = π * d

we replace with the known values

c = π * 12

c = 12π

The length of the circumference is 12π

N ow we divide the circumference by 2 and we will obtain the length of the arc of the semicircle

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3 years ago

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arsen [322]

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3 years ago

Determine the slope between the points (-3, 0) and (0, 5)

Alex787 [66]

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4 years ago

Read 2 more answers

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet. After 7 minutes it is at a height of 590

Jet001 [13]

Let's assume

height of plane in feet =h

time in minutes =t

we are given

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet

so, we get one point as (5,6500)

After 7 minutes it is at a height of 5900 feet

so, we get another point as (7,5900)

we can use point slope form of line

$y-y_1=m(x-x_1)$

points as

(5,6500)

x1=5, y1=6500

(7,5900)

x2=7 , y2=5900

Calculation of slope(m):

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{5900-6500}{7-5}$

$m=-300$

Equation of line:

we can use formula

$y-y_1=m(x-x_1)$

we can plug values

$h-6500=-300(t-5)$

$h=-300t+8000$

Time of landing:

we can set h=0

and then we can solve for t

$h=-300t+8000=0$

$t=\frac{80}{3}min$ ..............Answer

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4 years ago